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3430222220343 = 3191094331275067
BaseRepresentation
bin110001111010101001001…
…011010100110000110111
3110010221000002021111211010
4301322221023110300313
5422200043342022333
611143453342443303
7502553050535502
oct61725113246067
913127002244733
103430222220343
111102827021586
12474972593533
131bb61259a559
14bc048c2c139
155e36450e563
hex31ea92d4c37

3430222220343 has 32 divisors (see below), whose sum is σ = 4869739705600. Its totient is φ = 2141621254656.

The previous prime is 3430222220311. The next prime is 3430222220387.

3430222220343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3430222220343 - 25 = 3430222220311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3430222220343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430222220143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052696 + ... + 3327762.

It is an arithmetic number, because the mean of its divisors is an integer number (152179365800).

Almost surely, 23430222220343 is an apocalyptic number.

3430222220343 is a deficient number, since it is larger than the sum of its proper divisors (1439517485257).

3430222220343 is a wasteful number, since it uses less digits than its factorization.

3430222220343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275631.

The product of its (nonzero) digits is 41472, while the sum is 30.

The spelling of 3430222220343 in words is "three trillion, four hundred thirty billion, two hundred twenty-two million, two hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 19 57 109 327 433 1299 2071 6213 8227 24681 47197 141591 896743 1275067 2690229 3825201 24226273 72678819 138982303 416946909 552104011 1656312033 2640663757 7921991271 10489976209 31469928627 60179337199 180538011597 1143407406781 3430222220343